The premiere of this film took place two days after Elizabeth Taylor's real-life marriage to "Nicky" Conrad Hilton Jr.. The publicity surrounding the event is credited with helping to make the film so successful.
MGM gave Elizabeth Taylor a wedding gift of a one-off wedding dress designed by Edith Head (a move also designed to promote the film).
Jack Benny badly wanted the lead role but was deemed unsuitable.
In the film, one of the gifts Kay gets as a present is a Venus de Milo statue with a clock in the stomach, which Spencer Tracy refers to as a "stinker". This same gift makes its' way into the 1991 re-make among the presents, and is still not received well.